Simulating Exceptional Non-Hermitian Metals with Single-Photon Interferometry
arXiv:2011.01884 · doi:10.1103/PhysRevLett.127.026404
Abstract
We experimentally simulate in a photonic setting non-Hermitian (NH) metals characterized by the topological properties of their nodal band structures. Implementing nonunitary time evolution in reciprocal space followed by interferometric measurements, we probe the complex eigenenergies of the corresponding NH Bloch Hamiltonians, and study in detail the topology of their exceptional lines (ELs), the NH counterpart of nodal lines in Hermitian systems. We focus on two distinct types of NH metals: two-dimensional systems with symmetry-protected ELs, and three-dimensional systems possessing symmetry-independent topological ELs in the form of knots. While both types feature open Fermi surfaces, we experimentally observe their distinctions by analyzing the impact of symmetry-breaking perturbations on the topology of ELs.
arXiv comment14 pages, 14 figures
References in corpus (40)
- Topological Insulators
- Topological insulators and superconductors
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Weyl and Dirac Semimetals in Three Dimensional Solids
- Topological Photonics
- Making Sense of Non-Hermitian Hamiltonians
- Edge states and topological invariants of non-Hermitian systems
- Complex Extension of Quantum Mechanics
- Exceptional Topology of Non-Hermitian Systems
- Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems
- Topological Origin of Non-Hermitian Skin Effects
- Anomalous edge state in a non-Hermitian lattice
- Dirac materials
- Observation of non-Hermitian bulk-boundary correspondence in quantum dynamics
- Topological nodal line semimetals
- Distance measures to compare real and ideal quantum processes
- Observation of Bulk Fermi Arc and Polarization Half Charge from Paired Exceptional Points
- Nodal-chain metals
- Weyl Exceptional Rings in a Three-Dimensional Dissipative Cold Atomic Gas
- Classification of Exceptional Points and Non-Hermitian Topological Semimetals
- Exceptional rings in two-dimensional correlated systems with chiral symmetry
- Symmetry-protected nodal phases in non-Hermitian systems
- Simulating dynamic quantum phase transitions in photonic quantum walks
- Nodal-knot semimetals
- Observation of critical phenomena in parity-time-symmetric quantum dynamics
- Experimental observation of exceptional surface in synthetic dimensions with magnon polaritons
- Exceptional Surfaces in PT-Symmetric Photonic Systems
- Non-Hermitian Hopf-Link Exceptional Line Semimetals
- Experimental discovery of nodal chains
- Exceptional Links and Twisted Fermi Ribbons in non-Hermitian Systems
- Non-Hermitian nodal-line semimetals with an anomalous bulk-boundary correspondence
- Topological Semimetals carrying Arbitrary Hopf Numbers: Hopf-Link, Solomon's-Knot, Trefoil-Knot and Other Semimetals
- Knotted Non-Hermitian Metals
- Jones polynomial and knot transitions in topological semimetals
- Observation of nodal-line semimetal with ultracold fermions in an optical lattice
- Surface and 3D quantum Hall effects from engineering of exceptional points in nodal-line semimetals
- Imaging nodal knots in momentum space through topolectrical circuits
- Entanglement-enhanced quantum metrology in a noisy environment
- Weyl nodal surfaces
- Non-Hermitian semi-Dirac semi-metals
Cited by in corpus (35)
- Topological Non-Hermitian skin effect
- Symmetry and Higher-Order Exceptional Points
- Topology of anti-parity-time-symmetric non-Hermitian Su-Schrieffer-Heeger model
- Exceptional Non-Abelian Topology in Multiband Non-Hermitian Systems
- Non-Hermitian Topological Phases: Principles and Prospects
- Non-Hermitian Photonic Lattices: tutorial
- Probing Complex-energy Topology via Non-Hermitian Absorption Spectroscopy in a Trapped Ion Simulator
- Exceptional entanglement phenomena: non-Hermiticity meeting non-classicality
- Classification of Exceptional Nodal Topologies Protected by Symmetry
- Non-Hermitian Aubry-André model with Power-Law Hopping
- Non-Hermitian sensing in the absence of exceptional points
- Homotopy, Symmetry, and Non-Hermitian Band Topology
- Experimental Simulation of Symmetry-Protected Higher-Order Exceptional Points with Single Photons
- Topological energy braiding of the non-Bloch bands
- Non-Hermitian Absorption Spectroscopy
- Non-Hermitian spatial symmetries and their stabilized normal and exceptional topological semimetals
- Experimental realization of stable exceptional chains protected by non-Hermitian latent symmetries unique to mechanical systems
- Experimental observation of the Yang-Lee quantum criticality in open systems
- Pseudo-Hermiticity protects the energy-difference conservation in the scattering
- Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences
- Photonic chiral state transfer near the Liouvillian exceptional point
- Characterizing and Tuning Exceptional Points Using Newton Polygons
- Hermitian Topologies originating from non-Hermitian braidings
- symmetry-protected exceptional cones and analogue Hawking radiation
- Fractal Nodal Band Structures
- Berry curvature inside parity-time-symmetry protected exceptional surface
- Nonlinear Hall effects with an exceptional ring
- Nonadiabatic transitions in non-Hermitian -symmetric two-level systems
- Observation of Braid-Protected Unpaired Exceptional Points
- Mixedness timescale in non-Hermitian quantum systems
- Pseudo-Hermitian Topology of Multiband Non-Hermitian Systems
- Local Non-Hermitian Hamiltonian Formalism for Dissipative Fermionic Systems and Loss-Induced Population Increase in Fermi Superfluids
- Characterizing the Yang-Lee zeros of the classical Ising model through dynamic quantum phase transitions
- Anomalous Transport Induced by Non-Hermitian Anomalous Berry Connection in Non-Hermitian Systems
- The analytically tractable zoo of similarity-induced exceptional structures